Abstract
The non-linear wave amplification around a truncated vertical cylinder, the high-order horizontal wave loading from non-breaking steep waves and the associated physical process are studied numerically. Considering the high-order free-surface deformation due to high-frequency wave scattering Type-1 and Type-2, and lateral edge waves, the simulations are conducted for a stationary, surface-piercing cylinder with different cross-sections subject to the short and long waves, propagating in deep water. A numerical wave tank based on the Unsteady Navier-Stokes/VOF model is established, using OpenFOAM combined with the olaFlow toolbox for wave generation and absorption. The capabilities of the present numerical model are assessed in conjunction with the ITTC (OEC) benchmark, where the numerical results are in good agreement. Overall, the results indicate the high potential of the present numerical model for accurate modeling of nonlinear wave interaction with cylindrical columns. Variation of wavelength together with the corner ratio significantly influences the magnitude of high-order harmonic wave loading. Moreover, the numerical results indicate the important contribution of the cross-section shape on the non-linear wave field surrounding each cylinder. As the geometrical presence of corner becomes apparent from circular to the square cross-section, there is a systematic increase in the mean value, 1st, 2nd and 3rd harmonics of the inline force subject to both short and long incident waves. Furthermore, interestingly the formation of slightly developed wave scattering of Type-2 at the front of the cylinder in short waves is observed for cross-sections with corner ratios of (rc/R=0.25&0). The development of a secondary load cycle is also observed which is found to be closely related to the occurrence of wave scattering Type-2 and the lateral edge waves where the important contribution from, mean value, 3rd, and 4th harmonics of the inline force are apparent.
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